106949520 has 120 divisors (see below), whose sum is σ = 363425400. Its totient is φ = 28182528.

The previous prime is 106949509. The next prime is 106949539. The reversal of 106949520 is 25949601.

It can be written as a sum of positive squares in 4 ways, for example, as 3154176 + 103795344 = 1776^2 + 10188^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×106949520² = 22876399656460800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 63246 + ... + 64914.

It is an arithmetic number, because the mean of its divisors is an integer number (3028545).

Almost surely, 2^106949520 is an apocalyptic number.

106949520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106949520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181712700).

106949520 is an abundant number, since it is smaller than the sum of its proper divisors (256475880).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

106949520 is a wasteful number, since it uses less digits than its factorization.

106949520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1777 (or 1768 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 106949520 is about 10341.6401020341. The cubic root of 106949520 is about 474.6712702425.

The spelling of 106949520 in words is "one hundred six million, nine hundred forty-nine thousand, five hundred twenty".